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Finding the Fourth Proportional to 2,643.86, 3,953.64 and 1,943.22

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Solution

The fourth proportional to 2,643.86, 3,953.64 and 1,943.22 is: 2,905.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.86 : 3,953.64 = 1,943.22 : x
  2. Step 2: Convert to fraction form
    2,643.86/3,953.64 = 1,943.22/x
  3. Step 3: Cross multiply
    2,643.86x = 3,953.64 × 1,943.22
  4. Step 4: Simplify right side
    2,643.86x = 7,682,792.32
  5. Step 5: Solve for x
    x = 7,682,792.32/2,643.86
  6. Step 6: Final answer
    x = 2,905.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.